EXERCISES 4.3 Mechanics 41. Consider the following contingency table. B B A 26 34 Ac 14 26 a. Convert the contingency table into a joint probability table. b. What is the probability that A occurs? ن فة What is the probability that A and B occur? d. Given that B has occurred, what is the probability that A occurs? e. Given that A has occurred, what is the probability that B occurs? f. Are A and B mutually exclusive events? Explain. g. Are A and B independent events? Explain. 42. Consider the following joint probability table. B₁ B2 B3 BA A 0.09 0.22 0.15 0.20 Ac 0.03 0.10 0.09 0.12
EXERCISES 4.3 Mechanics 41. Consider the following contingency table. B B A 26 34 Ac 14 26 a. Convert the contingency table into a joint probability table. b. What is the probability that A occurs? ن فة What is the probability that A and B occur? d. Given that B has occurred, what is the probability that A occurs? e. Given that A has occurred, what is the probability that B occurs? f. Are A and B mutually exclusive events? Explain. g. Are A and B independent events? Explain. 42. Consider the following joint probability table. B₁ B2 B3 BA A 0.09 0.22 0.15 0.20 Ac 0.03 0.10 0.09 0.12
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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![EXERCISES 4.3
Mechanics
41. Consider the following contingency table.
B
B
A
26
34
Ac
14
26
a. Convert the contingency table into a joint probability table.
b. What is the probability that A occurs?
ن فة
What is the probability that A and B occur?
d. Given that B has occurred, what is the probability that
A occurs?
e. Given that A has occurred, what is the probability that
B occurs?
f.
Are A and B mutually exclusive events? Explain.
g.
Are A and B independent events? Explain.
42. Consider the following joint probability table.
B₁
B2
B3
BA
A
0.09
0.22
0.15
0.20
Ac
0.03
0.10
0.09
0.12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6389447-1237-4af0-b5c6-eb1260425b55%2F449b7086-5a3a-4d2c-bb75-cad6cbd3d605%2Fbayamt8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXERCISES 4.3
Mechanics
41. Consider the following contingency table.
B
B
A
26
34
Ac
14
26
a. Convert the contingency table into a joint probability table.
b. What is the probability that A occurs?
ن فة
What is the probability that A and B occur?
d. Given that B has occurred, what is the probability that
A occurs?
e. Given that A has occurred, what is the probability that
B occurs?
f.
Are A and B mutually exclusive events? Explain.
g.
Are A and B independent events? Explain.
42. Consider the following joint probability table.
B₁
B2
B3
BA
A
0.09
0.22
0.15
0.20
Ac
0.03
0.10
0.09
0.12
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